I couldn't see your picture, but I'm surprised that CG actually germinated this late in the season... we don't really have an issue with CG at all during September , but I can't say where you're at that it won't stunt your lawn before it goes... it thrives in heat and grows fast while turf languishes in the heat rather than compete...
What are your over nite low temperatures???

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Now that I know that clay's texture(platelets) has nothing to do with water infiltration, percolation, or drainage,,, I wonder what does...
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